Answer:
[tex] x = \dfrac{-1 \pm \sqrt{11}}{2} [/tex]
Step-by-step explanation:
(2x - 3)² - 14 = 2x(x - 7)
4x² - 12x + 9 - 14 = 2x² - 14x
2x² + 2x - 5 = 0
[tex] x = \dfrac{-2 \pm \sqrt{2^2 - 4(2)(-5)}}{2(2)} [/tex]
[tex] x = \dfrac{-2 \pm \sqrt{4 + 40}}{4} [/tex]
[tex] x = \dfrac{-2 \pm 2\sqrt{11}}{4} [/tex]
[tex] x = \dfrac{-1 \pm \sqrt{11}}{2} [/tex]
